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Finding the Fourth Proportional to 289.14, 398.61 and 253.86

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Solution

The fourth proportional to 289.14, 398.61 and 253.86 is: 349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.14 : 398.61 = 253.86 : x
  2. Step 2: Convert to fraction form
    289.14/398.61 = 253.86/x
  3. Step 3: Cross multiply
    289.14x = 398.61 × 253.86
  4. Step 4: Simplify right side
    289.14x = 101,191.13
  5. Step 5: Solve for x
    x = 101,191.13/289.14
  6. Step 6: Final answer
    x = 349.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.